Jeffian,
As usual with pensions, the answer is yes, and no! There is absolutely nothing in the rules to stop you splitting an existing, single pension into two, as I have shown. BUT, it will all depend upon your existing provider, and if they have updated their systems to allow it. Joe public are led into believing that their pension providers rules are THE rules; they rarely are!
Most, "open for business" life offices can facilitate it, as can most platforms; not sure about HL, but I would be amazed if they couldnt cope.
So, in one respect you are correct. If you have a single PPP with say NPI, and ask for the cash from them, bet they couldnt do it for you without you having to buy an annuity, and you almost certainly could not take it in stages.
Better providers/platforms have effectively now combined all the PPP/SIPP rules into one product, allowing partial encashment, USP, FULL Sipp, (not a HL job), phased drawdown, partial annuity purchase, fee options, et al.
Re your Q, "can one pension be split into two?" How do you think divorce settlements would cope if they couldnt be?
Oh, and thanks for the compliment!
R